Nonlinear non-local elliptic equation modelling electrostatic actuation

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Abstract

The nonlinear non-local elliptic equation governing the deflection of charged plates in electrostatic actuators is studied under the pinned and the clamped boundary conditions. Results concerning the existence, construction and approximation, and behaviour of classical and singular solutions with respect to the variation of physical parameters of the equation in various situations are presented.

Original languageEnglish (US)
Pages (from-to)1323-1337
Number of pages15
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume463
Issue number2081
DOIs
StatePublished - May 8 2007

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Keywords

  • Electrostatic actuation
  • Nonlinear methods
  • Singularities

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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